Question

The number of students at a certain school is 1220 and is increasing at a rate of 10%

per year. Identify the exponential growth function to model this situation. Then find
the number of students in the school after 7 years.
O y= 1220(110) 2000
y=1220(1.1): 2300
y = 1220(1.01): 2343
y = 1220(1.1): 2377

Answer 1

Answer:
`y = 1220(1.1)^x;\ 2377` .

Explanation:

The general exponential growth equation is given by :-

`y=A(1+r)^x`

, where A = Initial value

r= Rate of growth

x = time

Given , The number of students at a certain school is 1220 and is increasing at a rate of 10% per year.

i.e. A= 1220 , r=10% = 0.1 [In decimal]

Then, the required function would be :
`y=1220(1+0.10)^x=1220(1.1)^x`

At x= 7 , we get

`y=1220(1.1)^7=2377.43486\approx2377`

The number of students in the school after 7 years =2377

Hence, the correct option is
`y = 1220(1.1)^x;\ 2377` .